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Dennis Burns with his daughters Sophia, left, and Victoria while Sophia was a baby. In 2010, the girls' mother took them to Argentina in defiance of a court order declaring Burns the primary residential parent. The girls have been in Argentina ever since.

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"I don't have the opportunity with them to get them out of bed in the morning, make them breakfast, take them to school," Burns said of his daughters.

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Burns at a local park in Snowmass, Colorado, the day a judge designated him the "primary residential parent" of his girls, in August 2010. It was, he said, one of the happiest days of his life.

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Victoria Burns, pictured at a playground in Snowmass.

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Sophia Burns, a toddler at the time, swings at a park in Snowmass. Only weeks later, she and her sister were taken to Argentina by their mother, Ana Alianelli.

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Burns on a recent trip to visit Sophia, now 4, and Victoria, now 7. He says he has been to Argentina seven times -- at his own expense -- to visit the girls.